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In FX cash markets, market makers provide liquidity to clients for a wide variety of currency pairs. Because of flow uncertainty and market volatility, they face inventory risk. To mitigate this risk, they typically skew their prices to…

Trading and Market Microstructure · Quantitative Finance 2023-10-31 Alexander Barzykin , Philippe Bergault , Olivier Guéant

We study an optimal liquidation problem under the ambiguity with respect to price impact parameters. Our main results show that the value function and the optimal trading strategy can be characterized by the solution to a semi-linear PDE…

Mathematical Finance · Quantitative Finance 2019-09-04 Ulrich Horst , Xiaonyu Xia , Chao Zhou

Dealers make money by providing liquidity to clients but face flow uncertainty and thus price risk. They can efficiently skew their prices and wait for clients to mitigate risk (internalization), or trade with other dealers in the open…

Trading and Market Microstructure · Quantitative Finance 2023-06-16 Alexander Barzykin , Philippe Bergault , Olivier Guéant

The Foreign Exchange (Forex) is a large decentralized market, on which trading analysis and algorithmic trading are popular. Research efforts have been focusing on proof of efficiency of certain technical indicators. We demonstrate,…

Statistical Finance · Quantitative Finance 2021-06-01 Nikolay Ivanov , Qiben Yan

We develop an optimal currency hedging strategy for fund managers who own foreign assets to choose the hedge tenors that maximize their FX carry returns within a liquidity risk constraint. The strategy assumes that the offshore assets are…

Risk Management · Quantitative Finance 2019-03-18 Rongju Zhang , Mark Aarons , Gregoire Loeper

In the seminal paper on optimal execution of portfolio transactions, Almgren and Chriss (2001) define the optimal trading strategy to liquidate a fixed volume of a single security under price uncertainty. Yet there exist situations, such as…

Trading and Market Microstructure · Quantitative Finance 2022-12-06 Julien Vaes , Raphael Hauser

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

Trading and Market Microstructure · Quantitative Finance 2015-01-13 Qinghua Li

This paper investigates the optimal hedging strategies of an informed broker interacting with multiple traders in a financial market. We develop a theoretical framework in which the broker, possessing exclusive information about the drift…

Trading and Market Microstructure · Quantitative Finance 2025-06-11 Philippe Bergault , Pierre Cardaliaguet , Wenbin Yan

This paper studies the problem of determining the optimal cut-off for pairs trading rules. We consider two correlated assets whose spread is modelled by a mean-reverting process with stochastic volatility, and the optimal pair trading rule…

Mathematical Finance · Quantitative Finance 2014-12-25 Minh Man Ngo , Huyen Pham

We examine the Foreign Exchange (FX) spot price spreads with and without Last Look on the transaction. We assume that brokers are risk-neutral and they quote spreads so that losses to latency arbitrageurs (LAs) are recovered from other…

Trading and Market Microstructure · Quantitative Finance 2018-06-13 Alvaro Cartea , Sebastian Jaimungal , Jamie Walton

Algorithm of multicurrency trading at the market of Forex is realized on the basis of nonlinear stochastic wavelets. The distinctive feature of the algorithm is the possibility of weakly- and strongly connected horizontal self-assemblies,…

General Finance · Quantitative Finance 2012-04-23 A. M. Avdeenko

We study a multi-agent setting in which brokers transact with an informed trader. Through a sequential Stackelberg-type game, brokers manage trading costs and adverse selection with an informed trader. In particular, supplying liquidity to…

Trading and Market Microstructure · Quantitative Finance 2025-11-13 Ryan Donnelly , Zi Li

Pair trading is a market-neutral quantitative trading strategy that exploits price anomalies between two correlated assets. By taking simultaneous long and short positions, it generates profits based on relative price movements, independent…

Computational Engineering, Finance, and Science · Computer Science 2024-12-18 Charles Barthelemy , Ruoyu Chen , Edward Lucyszyn

We consider learning a trading agent acting on behalf of the treasury of a firm earning revenue in a foreign currency (FC) and incurring expenses in the home currency (HC). The goal of the agent is to maximize the expected HC at the end of…

Machine Learning · Computer Science 2022-02-28 Diksha Garg , Pankaj Malhotra , Anil Bhatia , Sanjay Bhat , Lovekesh Vig , Gautam Shroff

We consider an agent who needs to buy (or sell) a relatively small amount of asset over some fixed short time interval. We work at the highest frequency meaning that we wish to find the optimal tactic to execute our quantity using limit…

Trading and Market Microstructure · Quantitative Finance 2018-03-16 Charles-Albert Lehalle , Othmane Mounjid , Mathieu Rosenbaum

A leveraged ETF is a fund aimed at achieving a rate of return several times greater than that of the underlying asset such as Nikkei 225 futures. Recently, it has been suggested that rebalancing trades of a leveraged ETF may destabilize the…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Isao Yagi , Shunya Maruyama , Takanobu Mizuta

We consider portfolio selection under nonparametric $\alpha$-maxmin ambiguity in the neighbourhood of a reference distribution. We show strict concavity of the portfolio problem under ambiguity aversion. Implied demand functions are…

General Economics · Economics 2022-06-22 Michail Anthropelos , Paul Schneider

We model the trading activity between a broker and her clients (informed and uninformed traders) as an infinite-horizon stochastic control problem. We derive the broker's optimal dealing strategy in closed form and use this to introduce an…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Álvaro Cartea , Leandro Sánchez-Betancourt

We investigate triangular arbitrage within the spot foreign exchange market using high-frequency executable prices. We show that triangular arbitrage opportunities do exist, but that most have short durations and small magnitudes. We find…

Statistical Finance · Quantitative Finance 2011-09-06 Daniel J. Fenn , Sam D. Howison , Mark McDonald , Stacy Williams , Neil F. Johnson

As the FX markets continue to evolve, many institutions have started offering passive access to their internal liquidity pools. Market makers act as principal and have the opportunity to fill those orders as part of their risk management,…

Trading and Market Microstructure · Quantitative Finance 2025-12-05 Alexander Barzykin , Robert Boyce , Eyal Neuman
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